document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=990122>Question 990122</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The digits of Michaels age are interchanged and 1 is added the answer is half of Michaels present age How old is Michael now?\r<BR>\n" );
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document.write( "Have the answer as 52 but cannot understand how you get to it </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #610250 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=610250\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let 10a+b = his age now<BR>\n" );
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document.write( "Not a straight forward problem, we have two unknowns and only one equation<BR>\n" );
document.write( "We have to make use of the fact that the solutions have to be single digit integers.<BR>\n" );
document.write( "The equation<BR>\n" );
document.write( "The digits of Michael's age are interchanged and 1 is added the answer is half of Michael's present age<BR>\n" );
document.write( "10b + a + 1 = .5(10a+b)<BR>\n" );
document.write( "10b + a + 1 = 5a + .5b<BR>\n" );
document.write( "10b - .5b + 1 = 5a - a <BR>\n" );
document.write( "9.5b + 1 = 4a<BR>\n" );
document.write( "4a = 9.5b + 1<BR>\n" );
document.write( "Divide equation by 4<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9.5%2F4 ALIGN=MIDDLE  ALT=\"9.5%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >b + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "this equation only has 1 integer solution<BR>\n" );
document.write( "a = 5; b = 2\r<BR>\n" );
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document.write( " How old is Michael now? 52\r<BR>\n" );
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document.write( "  </SPAN>\n" );
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